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Identifying Scale Factors from Descriptions of Triangles

Geometry

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Laertes, Pi, and Tom stand, forming a triangle.
  • Laertes is standing 3 feet away from Pi.
  • Pi is standing 6 feet away from Tom.
  • Tom is standing 5 feet away from Laertes.
They move to new positions. Now...
  • Pi is standing 36 feet away from Tom.
  • Tom is standing 30 feet away from Laertes.
  • Laertes is standing 18 feet away from Pi.
What is the scaling factor from the initial to the final position?
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